Question 1197736
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<pre>

Let M be the money earned by Tom.


Then Fred earned {{{(x/y)*M}}} money.


Total they earned is this sum  T = {{{M + (x/y)*M}}} = {{{M*(1+x/y)}}}.    (1)


We want to express M via T.


From (1),  M = {{{T/(1+x/y)}}}.    (2)


It is the expression you want to get.
</pre>

Solved.


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Keep in mind that the final formula in the post by @josgarithmetic is incorrect


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;{{{highlight(cross(T/(T(x/y)+1)))}}}



How do I know it ? &nbsp;&nbsp;- - - &nbsp;&nbsp;Because his formula mixes in the denominator values with dimension of money 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;with dimensionless value of &nbsp;1.



So, &nbsp;ignore his post for the safety of your mind.



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<U>comment from student</U> : &nbsp;Why was 1 added to x/y ?



<U>My response</U> : &nbsp;My formula &nbsp;(2) &nbsp;follows directly from formula &nbsp;(1).


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Simple algebra.  &nbsp;&nbsp;If you don't know it (asking such question), &nbsp;it means that you are in wrong class &nbsp;(if any).